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Finding the Fourth Proportional to 257,159.56, 354,877.84 and 143,984.20

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Solution

The fourth proportional to 257,159.56, 354,877.84 and 143,984.20 is: 198,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,159.56 : 354,877.84 = 143,984.20 : x
  2. Step 2: Convert to fraction form
    257,159.56/354,877.84 = 143,984.20/x
  3. Step 3: Cross multiply
    257,159.56x = 354,877.84 × 143,984.20
  4. Step 4: Simplify right side
    257,159.56x = 51,096,801,890.13
  5. Step 5: Solve for x
    x = 51,096,801,890.13/257,159.56
  6. Step 6: Final answer
    x = 198,696.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.